Dongkwan Kim



email: kim00657 at umn dot edu
office: 203B Vincent Hall, 206 Church St. SE, Minneapolis, MN 55455
CV

I am a Dunham Jackson Assistant Professor in School of Mathematics in University of Minnesota.
I got a Sc.D. in mathematics at MIT. My thesis advisor was George Lusztig.
Currently I am interested in algebraic combinatorics and geometric representation theory.

This semester I will teach MATH 5251 (Error-correcting codes, finite fields, algebraic curves).


Published papers

"On the Betti numbers of Springer fibers for classical types."

Transform. Groups (2020), available online.

"Two-row W-graphs in affine type A" (joint with P. Pylyavskyy)

Adv. Math. 370 (2020), available online.

"Homology class of a Deligne-Lusztig variety and its analogues."

Int. Math. Res. Not. IMRN. 2020 (2020), no.4, 1246-1280.

"Springer fibers for the minimal and the minimal special nilpotent orbits."

Algebr. Represent. Theory 22 (2019), no.3, 545-567.

"Euler characteristic of Springer fibers."

Transform. Groups 24 (2019), no.2, 403-428.

"On total Springer representations for classical types."

Selecta Math. (N.S.) 24 (2018), no.5, 4141-4196.

"A comparison of two complexes."

J. Algebra 514 (2018), 76-98.

"Euler characteristic of analogues of a Deligne-Lusztig variety for GLn."

J. Algebra 505 (2018), 321-338.

Preprints

"Robinson-Schensted correspondence for unit interval orders." (joint with P. Pylyavskyy)

arXiv:2003.12123 (2020) Submitted

"On total Springer representations for the symplectic Lie algebra in characteristic 2 and the exotic case."

arXiv:1909.01901 (2019) Submitted

"Asymptotic Hecke algebras and Lusztig-Vogan bijection via affine matrix-ball construction." (joint with P. Pylyavskyy)

arXiv:1902.06668 (2019) Submitted

"An affine generalization of evacuation." (joint with M. Chmutov, G. Frieden, J. Lewis, and E. Yudovina)

arXiv:1806.07429 (2018) Submitted

"On the affine Schutzenberger involution."

arXiv:1804.05636 (2018) To appear in Math. Res. Let.

"Stability of Springer representations for type A."

arXiv:1612.02381 (2016)

Invited Talks

KIAS Workshop on Combinatorial Problems of Algebraic Origin (online), KIAS, Seoul, South Korea Jul 14, 2020

Robinson-Schensted correspondence for natural unit interval orders

T-seminar (online), KIAS, Seoul, South Korea Jun 19, 2020

Robinson-Schensted correspondence for natural unit interval orders

SNU Representation Theory Seminar, Seoul, South Korea Jun 17, 2020

Robinson-Schensted correspondence for natural unit interval orders

CGP Seminar, IBS-CGP, Pohang, South Korea Jun 11, 2020

Two-row W-graphs in affine type A

Intensive Lecture Series, IBS-CGP, Pohang, South Korea Jun 8-12, 2020

Overview of Springer theory

University of Georgia Algebra Seminar, Athens GA, USA Feb 10, 2020

Two-row W-graphs in affine type A

Combinatorics on flag varieties and related topics, KIAS, Seoul, South Korea Jan 15-17, 2020

Introduction to Springer theory

SNU Representation Theory Seminar, Seoul, South Korea Jan 8, 2020

Two-row W-graphs in affine type A

University of Minnesota Combinatorics Seminar, Minneapolis MN, USA Nov 1, 2019

Two-row W-graphs in affine type A

University of Minnesota Topology seminar, Minneapolis MN, USA Sep 23, 2019

Homology class of Deligne-Lusztig varieties

SNU Representation Theory Seminar, Seoul, South Korea Aug 16, 2019

Robinson-Schensted correspondence and its affine analogue

University of Minnesota Combinatorics Seminar, Minneapolis MN, USA Mar 8, 2019

Affine matrix-ball construction and its relation to representation theory

MIT Lie Groups Seminar, Cambridge MA, USA Dec 5, 2018

Affine matrix-ball construction, asymptotic Hecke algebras, and the Lusztig-Vogan bijection for GLn

Global Langlands Parametrization over Function Fields, KIAS, Seoul, South Korea Jul 16 and Jul 20, 2018

Preverse Sheaves and Affine Grassmanian and Geometric Satake Equivalence

University of Minnesota Combinatorics Seminar, Minneapolis MN, USA Apr 27, 2018

Young tableaux, Kazhdan-Lusztig cells, and Springer fibers

University of Minnesota Student Combinatorics Seminar, Minneapolis MN, USA Apr 26, 2018

Robinson-Schensted algorithm and its generalizations

University of Massachusetts Representation Theory Seminar, Amherst MA, USA Feb 12, 2018

On total Springer representations for classical types

Interactions between Representation Theory and Algebraic Geometry, University of Chicago, Chicago IL, USA Aug 21-25, 2017

Introductory talk

Thesis

Links

Teaching

Last update: Jul 22. 2020